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Finding the Third Proportional to 75,179.25 and 163,473.75

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Solution

The third proportional to 75,179.25 and 163,473.75 is: 355,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,179.25 : 163,473.75 = 163,473.75 : x
  2. Step 2: Convert to fraction form
    75,179.25/163,473.75 = 163,473.75/x
  3. Step 3: Cross multiply
    75,179.25x = 163,473.75 × 163,473.75
  4. Step 4: Simplify right side
    75,179.25x = 26,723,666,939.06
  5. Step 5: Solve for x
    x = 26,723,666,939.06/75,179.25
  6. Step 6: Final answer
    x = 355,466.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.